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printf("hellow\n"); - // using std::cout; - // SCIP* relaxscip; //a copy of the scip we can work on - // SCIP_HASHMAP* varmap; //to map the variables from scip to relaxscip - // SCIP_HASHMAP* consmap; //to map the constraints from scip to relaxscip + using std::cout; + SCIP* relaxscip; //a copy of the scip we can work on + SCIP_HASHMAP* varmap; //to map the variables from scip to relaxscip + SCIP_HASHMAP* consmap; //to map the constraints from scip to relaxscip - // SCIP_VARDATA* vardata; //contains variable data, including in which constraints it's found - // SCIP_PROBDATA* probdata; //contains constraint data, identify slot vs start conss, and also which variables it contains - // SCIP_RELAXDATA* relaxdata; // not yet used, but can be part of the struct SCIP_RelaxData + SCIP_VARDATA* vardata; //contains variable data, including in which constraints it's found + SCIP_PROBDATA* probdata; //contains constraint data, identify slot vs start conss, and also which variables it contains + SCIP_RELAXDATA* relaxdata; // not yet used, but can be part of the struct SCIP_RelaxData - // SCIP_CLOCK* varslottime; //to help us record the time + SCIP_CLOCK* varslottime; //to help us record the time - // FILE* file; + FILE* file; - // SCIP_Bool success; - // SCIP_Bool valid; + SCIP_Bool success; + SCIP_Bool valid; - // SCIP_SOL** sols; + SCIP_SOL** sols; - // relaxdata = SCIPrelaxGetData(relax); - // SCIP_CALL(SCIPallocBlockMemory(scip , &relaxdata)); - // assert(relaxdata != NULL); + relaxdata = SCIPrelaxGetData(relax); + SCIP_CALL(SCIPallocBlockMemory(scip , &relaxdata)); + assert(relaxdata != NULL); @@ -128,21 +128,21 @@ SCIP_DECL_RELAXINIT(relaxInitlagr) /*************************************************************************************************/ /*we start with creating our relaxed scip instance, where the variable and constraints are mapped*/ /*************************************************************************************************/ - // SCIP_CALL( SCIPcreate(&relaxscip)); - // valid=FALSE; - // SCIP_CALL( SCIPhashmapCreate(&varmap, SCIPblkmem(relaxscip), SCIPgetNVars(scip)) ); - // SCIP_CALL(SCIPcopy(scip,relaxscip,varmap,consmap,"relaxscip",FALSE,FALSE,FALSE,FALSE,&valid)); + SCIP_CALL( SCIPcreate(&relaxscip)); + valid=FALSE; + SCIP_CALL( SCIPhashmapCreate(&varmap, SCIPblkmem(relaxscip), SCIPgetNVars(scip)) ); + SCIP_CALL(SCIPcopy(scip,relaxscip,varmap,consmap,"relaxscip",FALSE,FALSE,FALSE,FALSE,&valid)); - // SCIP_VAR** origvars = SCIPgetVars(scip); - // SCIP_VAR** vars = SCIPgetVars(relaxscip); - // SCIP_CONS** conss = SCIPgetConss(relaxscip); - // int nconss = SCIPgetNConss(relaxscip); - // int nvars = SCIPgetNVars(relaxscip); - // SCIP_Real upperbound = 0; - // // printf("**************%f***********",SCIPgetNCountedFeasSubtrees(relaxscip)); + SCIP_VAR** origvars = SCIPgetVars(scip); + SCIP_VAR** vars = SCIPgetVars(relaxscip); + SCIP_CONS** conss = SCIPgetConss(relaxscip); + int nconss = SCIPgetNConss(relaxscip); + int nvars = SCIPgetNVars(relaxscip); + SCIP_Real upperbound = 0; + // printf("**************%f***********",SCIPgetNCountedFeasSubtrees(relaxscip)); - // SCIP_CALL( SCIPcreateClock(relaxscip, &varslottime) ); //* start time counting* - // SCIP_CALL(SCIPstartClock(relaxscip,varslottime)); + SCIP_CALL( SCIPcreateClock(relaxscip, &varslottime) ); //* start time counting* + SCIP_CALL(SCIPstartClock(relaxscip,varslottime)); /**************************************************************************************************************/ /*First, */ @@ -151,174 +151,174 @@ SCIP_DECL_RELAXINIT(relaxInitlagr) /*--along with the quotient of the obj to the nVarSlotConss */ /***************************************************************************************************************/ - // SCIPcreateprobdata(relaxscip,&probdata); //*will be used to identify the #of slot constraints - // printf("%d", SCIPgetNConss(relaxscip)); - // int nSlotConss = SCIPgetNSlotConss(probdata); - // printf("%d", SCIPgetNSlotConss(probdata)); - - // SCIP_Real* origobj; - // SCIP_CALL(SCIPallocBufferArray(relaxscip,&origobj,nvars)); - - - // for (int v = 0; v < nvars; v++) - // { - // SCIP_VAR* var = vars[v]; - // origobj[v]= SCIPvarGetObj(var); - - // vardata=NULL; - // SCIPvardataCreateLagrangian(relaxscip,vardata,&var,nSlotConss,v); //*we create the vardata, containing the ids of the constraints containing the variable - // vardata=SCIPvarGetData(var); - // if(upperbound<=SCIPvarGetObj(var)) - // { - // upperbound = SCIPvarGetObj(var); - // } - // } - // upperbound = upperbound * (nconss - nSlotConss); - // printf("%f",upperbound); - // // SCIP_CALL(SCIPstopClock(relaxscip,varslottime)); - // // SCIPinfoMessage(relaxscip, NULL, "Solving Time (sec) : %6f\n", SCIPgetClockTime(relaxscip, varslottime)); - - - // SCIP_SOL* bestsol ; - // SCIP_Real* dualmultipliers; - // SCIP_CALL(SCIPallocBufferArray(relaxscip,&dualmultipliers,nSlotConss)); + SCIPcreateprobdata(relaxscip,&probdata); //*will be used to identify the #of slot constraints + printf("%d", SCIPgetNConss(relaxscip)); + int nSlotConss = SCIPgetNSlotConss(probdata); + printf("%d", SCIPgetNSlotConss(probdata)); + + SCIP_Real* origobj; + SCIP_CALL(SCIPallocBufferArray(relaxscip,&origobj,nvars)); + + + for (int v = 0; v < nvars; v++) + { + SCIP_VAR* var = vars[v]; + origobj[v]= SCIPvarGetObj(var); + + vardata=NULL; + SCIPvardataCreateLagrangian(relaxscip,vardata,&var,nSlotConss,v); //*we create the vardata, containing the ids of the constraints containing the variable + vardata=SCIPvarGetData(var); + if(upperbound<=SCIPvarGetObj(var)) + { + upperbound = SCIPvarGetObj(var); + } + } + upperbound = upperbound * (nconss - nSlotConss); + printf("%f",upperbound); + // SCIP_CALL(SCIPstopClock(relaxscip,varslottime)); + // SCIPinfoMessage(relaxscip, NULL, "Solving Time (sec) : %6f\n", SCIPgetClockTime(relaxscip, varslottime)); + + + SCIP_SOL* bestsol ; + SCIP_Real* dualmultipliers; + SCIP_CALL(SCIPallocBufferArray(relaxscip,&dualmultipliers,nSlotConss)); - // SCIP_Real sumofduals = 0; - // SCIP_Real stepsize = 0.0000; - // SCIP_Real sqsum = 0; - // SCIP_Real sqrtsum = 0; - // SCIP_Real C = 2; + SCIP_Real sumofduals = 0; + SCIP_Real stepsize = 0.0000; + SCIP_Real sqsum = 0; + SCIP_Real sqrtsum = 0; + SCIP_Real C = 2; - // SCIP_Real* subgradients; - // SCIP_CALL(SCIPallocBufferArray(relaxscip,&subgradients,nSlotConss)); + SCIP_Real* subgradients; + SCIP_CALL(SCIPallocBufferArray(relaxscip,&subgradients,nSlotConss)); - // /******************************************************************************************************************/ - // /*Next, we will do the initial iteration of finding the dual mulpliers of each slot conss, and their sum(dualsum) */ - // /* In the end, we will subtract this sum from the objective of the function. */ - // /* It's initial, because while we would search for more dual multipliers to solve the Lagrangian relaxation */ - // /******************************************************************************************************************/ + /******************************************************************************************************************/ + /*Next, we will do the initial iteration of finding the dual mulpliers of each slot conss, and their sum(dualsum) */ + /* In the end, we will subtract this sum from the objective of the function. */ + /* It's initial, because while we would search for more dual multipliers to solve the Lagrangian relaxation */ + /******************************************************************************************************************/ - // for ( int r = 0; r < nSlotConss; ++r) - // { - // // printf("*******************%f\n",subgradients[r]); - // SCIP_CONS* cons = conss[r]; + for ( int r = 0; r < nSlotConss; ++r) + { + // printf("*******************%f\n",subgradients[r]); + SCIP_CONS* cons = conss[r]; - // dualmultipliers[r]=SCIPconsGetMultiplier(relaxscip,&cons, 0,0,0,true,0); //returns the minumum - // dualmultipliers[r] = 0; - // sumofduals+=dualmultipliers[r]; //adds the negative of the minimum in each iteration - // // printf("(%s,%f) \n",SCIPconsGetName(cons), dualmultipliers[r]); + dualmultipliers[r]=SCIPconsGetMultiplier(relaxscip,&cons, 0,0,0,true,0); //returns the minumum + dualmultipliers[r] = 0; + sumofduals+=dualmultipliers[r]; //adds the negative of the minimum in each iteration + // printf("(%s,%f) \n",SCIPconsGetName(cons), dualmultipliers[r]); - // } + } - // int niters = 2250; - // int stoppingiter=0; + int niters = 2250; + int stoppingiter=0; - // /**solvals is used for storing solutions in an iteration. where as bestsolvals will store the solution with the best objective value*/ - // SCIP_Real* solvals; - // SCIP_Real* bestsolvals; - // SCIP_CALL(SCIPallocBufferArray(relaxscip,&solvals,nvars+1)); - // SCIP_CALL(SCIPallocBufferArray(relaxscip,&bestsolvals,nvars+1+niters)); - - // bestsolvals[nvars] = -10000000000000000; - // // printf("%f",bestsolvals[nvars+1]); + /**solvals is used for storing solutions in an iteration. where as bestsolvals will store the solution with the best objective value*/ + SCIP_Real* solvals; + SCIP_Real* bestsolvals; + SCIP_CALL(SCIPallocBufferArray(relaxscip,&solvals,nvars+1)); + SCIP_CALL(SCIPallocBufferArray(relaxscip,&bestsolvals,nvars+1+niters)); + + bestsolvals[nvars] = -10000000000000000; + // printf("%f",bestsolvals[nvars+1]); - // // SCIP_CALL(SCIPstopClock(relaxscip,varslottime)); - // // SCIPinfoMessage(relaxscip, NULL, "Solving Time (sec) : %6f\n", SCIPgetClockTime(relaxscip, varslottime)); + // SCIP_CALL(SCIPstopClock(relaxscip,varslottime)); + // SCIPinfoMessage(relaxscip, NULL, "Solving Time (sec) : %6f\n", SCIPgetClockTime(relaxscip, varslottime)); - // /*add all the duals that are added onto the variabls under sumofaddonvars*/ - // SCIP_Real sumofaddonvars=0; - // SCIP_Real percent; - // SCIP_Real percent2; - // int counter=0; + /*add all the duals that are added onto the variabls under sumofaddonvars*/ + SCIP_Real sumofaddonvars=0; + SCIP_Real percent; + SCIP_Real percent2; + int counter=0; - // SCIP_Real sumofsqsubgrad=0; + SCIP_Real sumofsqsubgrad=0; - // stepsize; - // /*Now we can start with our interation to maximize the dualmultipliers while minimizing the reformulated SCIP instance*/ - // for(int k = 0; k < niters; ++k) - // { - // stepsize = 0.1; - // printf("%f\n\n",stepsize); - // sumofaddonvars = 0; - // SCIP_CALL(SCIPfreeTransform(relaxscip)); - // /*******************************************************************************************************/ - // /* The reformulation of the problem can be written as follows */ - // //*>>>>>>>>>>>>>>>>>> min sum { (w[i]+sum{dual[j]})}x[i]-sum{dual[r]} <<<<<<<<<<<< */ - // /*where i is nvars, j is nVarSlotConss, and r is nSlotConss for our case *******************************/ - // /*******************************************************************************************************/ - // SCIPvarchangeDuals(relaxscip,&vars,dualmultipliers,origobj); - // SCIP_CALL(SCIPaddOrigObjoffset(relaxscip,-1*sumofduals)); - // // printf("*****************************upperbound*********************---> %f",SCIPgetUpperbound(relaxscip)); - // // SCIP_CALL(SCIPprintOrigProblem(relaxscip, file, "lp", FALSE)); + stepsize; + /*Now we can start with our interation to maximize the dualmultipliers while minimizing the reformulated SCIP instance*/ + for(int k = 0; k < niters; ++k) + { + stepsize = 0.1; + printf("%f\n\n",stepsize); + sumofaddonvars = 0; + SCIP_CALL(SCIPfreeTransform(relaxscip)); + /*******************************************************************************************************/ + /* The reformulation of the problem can be written as follows */ + //*>>>>>>>>>>>>>>>>>> min sum { (w[i]+sum{dual[j]})}x[i]-sum{dual[r]} <<<<<<<<<<<< */ + /*where i is nvars, j is nVarSlotConss, and r is nSlotConss for our case *******************************/ + /*******************************************************************************************************/ + SCIPvarchangeDuals(relaxscip,&vars,dualmultipliers,origobj); + SCIP_CALL(SCIPaddOrigObjoffset(relaxscip,-1*sumofduals)); + // printf("*****************************upperbound*********************---> %f",SCIPgetUpperbound(relaxscip)); + // SCIP_CALL(SCIPprintOrigProblem(relaxscip, file, "lp", FALSE)); - // SCIPsolveiteration(relaxscip,nSlotConss,&subgradients,2,&stepsize,&bestsolvals,&upperbound, k); - // //prinf("\t\t\t\t%fUpperbound \n",upperbound); + SCIPsolveiteration(relaxscip,nSlotConss,&subgradients,2,&stepsize,&bestsolvals,&upperbound, k); + //prinf("\t\t\t\t%fUpperbound \n",upperbound); - // SCIP_CALL(SCIPduplicateBlockMemoryArray(scip, &(relaxdata->bestsolvals), bestsolvals, nvars+1)); - // // printf("\n best obj = %f \n",bestsolvals[nvars]); + SCIP_CALL(SCIPduplicateBlockMemoryArray(scip, &(relaxdata->bestsolvals), bestsolvals, nvars+1)); + // printf("\n best obj = %f \n",bestsolvals[nvars]); - // SCIP_CALL(SCIPaddOrigObjoffset(relaxscip,sumofduals)); + SCIP_CALL(SCIPaddOrigObjoffset(relaxscip,sumofduals)); - // sumofduals = 0; - // for ( int r = 0; r < nSlotConss; ++r) - // { - // SCIP_CONS* cons = conss[r]; - // // printf("--subgrad %f--",subgradients[r]); - // SCIP_Real subgradient = subgradients[r]; - // sumofsqsubgrad += subgradients[r]*subgradients[r]; - // } - - // for ( int r = 0; r < nSlotConss; ++r) - // { - // SCIP_CONS* cons = conss[r]; - // // printf("--subgrad %f--",subgradients[r]); - // SCIP_Real subgradient = subgradients[r]; - // dualmultipliers[r]=SCIPconsGetMultiplier(relaxscip,&cons,subgradient,C,stepsize,false,dualmultipliers[r]); //returns the minumum - // sumofduals+=dualmultipliers[r]; //adds the negative of the minimum in each iteration - // //prinf("(%s,%f, sumofduals %f) \n",SCIPconsGetName(cons), dualmultipliers[r],sumofduals); - // } + sumofduals = 0; + for ( int r = 0; r < nSlotConss; ++r) + { + SCIP_CONS* cons = conss[r]; + // printf("--subgrad %f--",subgradients[r]); + SCIP_Real subgradient = subgradients[r]; + sumofsqsubgrad += subgradients[r]*subgradients[r]; + } + + for ( int r = 0; r < nSlotConss; ++r) + { + SCIP_CONS* cons = conss[r]; + // printf("--subgrad %f--",subgradients[r]); + SCIP_Real subgradient = subgradients[r]; + dualmultipliers[r]=SCIPconsGetMultiplier(relaxscip,&cons,subgradient,C,stepsize,false,dualmultipliers[r]); //returns the minumum + sumofduals+=dualmultipliers[r]; //adds the negative of the minimum in each iteration + //prinf("(%s,%f, sumofduals %f) \n",SCIPconsGetName(cons), dualmultipliers[r],sumofduals); + } - // ++stoppingiter; - // if(bestsolvals[nvars]!=bestsolvals[nvars+k+1]){++counter;} - // else{counter=0;} - // if(counter==10){ break; } - // } + ++stoppingiter; + if(bestsolvals[nvars]!=bestsolvals[nvars+k+1]){++counter;} + else{counter=0;} + if(counter==10){ break; } + } - // SCIP_CALL(SCIPstopClock(relaxscip,varslottime)); - // SCIPinfoMessage(relaxscip, NULL, "Solving Time (sec) : %f\n", SCIPgetClockTime(relaxscip, varslottime)); - - // FILE* saveniter; - // saveniter = fopen("values.txt","w"); - // fprintf(saveniter,"%d\n",stoppingiter); - // fclose(saveniter); - - // FILE* savebestsols; - // for(int v=nvars+1; v<nvars+1+stoppingiter; ++v) - // { - // // prinf("(%s bsv= %f\n", SCIPvarGetName(vars[v]),bestsolvals[v]); - // savebestsols = fopen("values.txt","a"); - // fprintf(savebestsols,"%f\n", bestsolvals[v]); - // // fputs("This is testing for fputs...\n",were); - // fclose(savebestsols); - // } + SCIP_CALL(SCIPstopClock(relaxscip,varslottime)); + SCIPinfoMessage(relaxscip, NULL, "Solving Time (sec) : %f\n", SCIPgetClockTime(relaxscip, varslottime)); + + FILE* saveniter; + saveniter = fopen("values.txt","w"); + fprintf(saveniter,"%d\n",stoppingiter); + fclose(saveniter); + + FILE* savebestsols; + for(int v=nvars+1; v<nvars+1+stoppingiter; ++v) + { + // prinf("(%s bsv= %f\n", SCIPvarGetName(vars[v]),bestsolvals[v]); + savebestsols = fopen("values.txt","a"); + fprintf(savebestsols,"%f\n", bestsolvals[v]); + // fputs("This is testing for fputs...\n",were); + fclose(savebestsols); + } - // for(int v=0; v<nvars; ++v) - // { - // SCIP_VAR* var = vars[v]; - // // printf("orobj %f|",origobj[v]); - // // vardata = SCIPvarGetData(var); - // // SCIP_CALL(SCIPVaraddDualMultiplier(relaxscip,&var,dualmultipliers)); - // // printf("%f",SCIPvarGetQuotient(vardata)); - // // vardataDelete(relaxscip,&vardata); - // } + for(int v=0; v<nvars; ++v) + { + SCIP_VAR* var = vars[v]; + // printf("orobj %f|",origobj[v]); + // vardata = SCIPvarGetData(var); + // SCIP_CALL(SCIPVaraddDualMultiplier(relaxscip,&var,dualmultipliers)); + // printf("%f",SCIPvarGetQuotient(vardata)); + // vardataDelete(relaxscip,&vardata); + } @@ -444,7 +444,7 @@ SCIP* relaxscip; if(SCIPconsGetLhs(relaxscip,cons,&valid)==-SCIPinfinity(relaxscip)) /*<We get the slot constraints based on the inquality*/ { badconss[counter]=t; - // printf("(%d,%d)--%s\t",counter, t,SCIPconsGetName(cons)); + printf("(%d,%d)--%s\t",counter, t,SCIPconsGetName(cons)); counter++; } } @@ -471,6 +471,7 @@ SCIP* relaxscip; SCIP_CALL(SCIPgetConsNVars(relaxscip,cons,&nconsvars,&valid)); if(maxnconsvars<nconsvars){maxnconsvars=nconsvars;} //get the max number of variables found at each constraint consids[r]=0; + // printf("%s\n",SCIPconsGetName(cons)); } SCIP_VAR** varbuffers; @@ -479,14 +480,16 @@ SCIP* relaxscip; { varbuffers[v] =vars[v]; } - + SCIP_Real* origobj; + SCIP_CALL(SCIPallocBufferArray(relaxscip,&origobj,nvars)); for (int v = 0; v < nvars; v++) { int* varid; int nVarSlotConss=0; nconsvars = 0; SCIP_VAR* var = vars[v]; + origobj[v]= SCIPvarGetObj(var); int varindex = SCIPvarGetIndex(var); /* (2) */ assert(varindex!= NULL); @@ -537,10 +540,40 @@ SCIP* relaxscip; // /**set the variable data to the variable*/ SCIPvarSetData(var,vardata); } - + // SCIP_CALL(SCIPstopClock(relaxscip,varslottime)); SCIPinfoMessage(relaxscip, NULL, "\n row and column identified in (sec) : %f\n", SCIPgetClockTime(relaxscip, varslottime)); + /******************************************************************************************************************/ + /*Next, we will do the initial iteration of finding the dual mulpliers of each slot conss, and their sum(dualsum) */ + /* In the end, we will subtract this sum from the objective of the function. */ + /* It's initial, because while we would search for more dual multipliers to solve the Lagrangian relaxation */ + /******************************************************************************************************************/ + SCIP_Real* dualmultipliers; + SCIP_CALL(SCIPallocBufferArray(relaxscip,&dualmultipliers,nSlotConss)); + int sumofduals=0; + + for ( int r = 0; r < nSlotConss; ++r) + { + id = badconss[r]; + SCIP_CONS* cons = SCIPgetConss(relaxscip)[id]; + + + // dualmultipliers[r]=SCIPconsGetMultiplier(relaxscip,&cons, 0,0,0,true,0); //returns the minumum + dualmultipliers[r] = 0; + sumofduals+=dualmultipliers[r]; //adds the negative of the minimum in each iteration + + } + + /*******************************************************************************************************/ + /* The reformulation of the problem can be written as follows */ + //*>>>>>>>>>>>>>>>>>> min sum { (w[i]+sum{dual[j]})}x[i]-sum{dual[r]} <<<<<<<<<<<< */ + /*where i is nvars, j is nVarSlotConss, and r is nSlotConss for our case *******************************/ + /****************************************************************************************************************/ + /* The following function will add the following to the obj(weight) of the variable, */ + //* the obj(weight) of var + the sum of the dualmultipliers of bad constraints which contains this variable */ + /****************************************************************************************************************/ + /* change variable types */ @@ -556,10 +589,14 @@ SCIP* relaxscip; assert(!infeasible); } - // SCIP_CALL(SCIPprintOrigProblem(relaxscip, NULL, "lp", FALSE)); - SCIPsetMessagehdlrQuiet(relaxscip, TRUE); SCIP_CALL( SCIPtransformProb(relaxscip) ); + FILE* saveniter; + saveniter = fopen("time.txt","w"); + + SCIP_CALL(SCIPprintOrigProblem(relaxscip, saveniter, "lp", FALSE)); + SCIPsetMessagehdlrQuiet(relaxscip, TRUE); + fclose(saveniter); SCIP_CALL( SCIPsolve(relaxscip) ); relaxval = SCIPgetPrimalbound(relaxscip); diff --git a/time.txt b/time.txt index e69de29..4e649a3 100644 --- a/time.txt +++ b/time.txt @@ -0,0 +1,119 @@ +\ SCIP STATISTICS +\ Problem name : data/6f4s.lp_relaxscip +\ Variables : 54 (27 binary, 0 integer, 0 implicit integer, 27 continuous) +\ Constraints : 36 +Minimize + Obj: +120 t_x_{6}_{120} +105 t_x_{6}_{105} +90 t_x_{6}_{90} +75 t_x_{6}_{75} +60 t_x_{6}_{60} +45 t_x_{6}_{45} + +30 t_x_{6}_{30} +15 t_x_{6}_{15} +120 t_x_{5}_{120} +105 t_x_{5}_{105} +90 t_x_{5}_{90} +75 t_x_{5}_{75} + +60 t_x_{5}_{60} +45 t_x_{5}_{45} +30 t_x_{5}_{30} +15 t_x_{5}_{15} +120 t_x_{4}_{120} +105 t_x_{4}_{105} + +90 t_x_{4}_{90} +75 t_x_{4}_{75} +60 t_x_{4}_{60} +45 t_x_{4}_{45} +30 t_x_{4}_{30} +15 t_x_{4}_{15} + +105 t_x_{3}_{105} +90 t_x_{3}_{90} +75 t_x_{3}_{75} +60 t_x_{3}_{60} +45 t_x_{3}_{45} +30 t_x_{3}_{30} + +15 t_x_{3}_{15} +120 t_x_{2}_{120} +105 t_x_{2}_{105} +90 t_x_{2}_{90} +75 t_x_{2}_{75} +60 t_x_{2}_{60} + +45 t_x_{2}_{45} +30 t_x_{2}_{30} +15 t_x_{2}_{15} +120 t_x_{1}_{120} +105 t_x_{1}_{105} +90 t_x_{1}_{90} + +75 t_x_{1}_{75} +60 t_x_{1}_{60} +45 t_x_{1}_{45} +30 t_x_{1}_{30} +15 t_x_{1}_{15} +1 t_x_{1}_{0} + +120 t_x_{3}_{120} +Subject to + slot1: +1 t_x_{1}_{0} +1 t_x_{2}_{0} <= +1 + slot2: +1 t_x_{1}_{15} +1 t_x_{2}_{15} <= +1 + slot3: +1 t_x_{1}_{30} +1 t_x_{2}_{30} <= +1 + slot4: +1 t_x_{1}_{45} +1 t_x_{2}_{45} <= +1 + slot5: +1 t_x_{1}_{60} +1 t_x_{2}_{60} <= +1 + slot6: +1 t_x_{1}_{75} +1 t_x_{2}_{75} <= +1 + slot7: +1 t_x_{1}_{90} +1 t_x_{2}_{90} <= +1 + slot8: +1 t_x_{1}_{105} +1 t_x_{2}_{105} <= +1 + F_6: +1 t_x_{6}_{0} +1 t_x_{6}_{15} +1 t_x_{6}_{30} +1 t_x_{6}_{45} +1 t_x_{6}_{60} +1 t_x_{6}_{75} +1 t_x_{6}_{90} + +1 t_x_{6}_{105} +1 t_x_{6}_{120} = +1 + slot10: +1 t_x_{2}_{0} +1 t_x_{3}_{0} +1 t_x_{4}_{0} <= +1 + slot11: +1 t_x_{2}_{15} +1 t_x_{3}_{15} +1 t_x_{4}_{15} <= +1 + slot12: +1 t_x_{2}_{30} +1 t_x_{3}_{30} +1 t_x_{4}_{30} <= +1 + slot13: +1 t_x_{2}_{45} +1 t_x_{3}_{45} +1 t_x_{4}_{45} <= +1 + slot14: +1 t_x_{2}_{60} +1 t_x_{3}_{60} +1 t_x_{4}_{60} <= +1 + slot15: +1 t_x_{2}_{75} +1 t_x_{3}_{75} +1 t_x_{4}_{75} <= +1 + slot16: +1 t_x_{2}_{90} +1 t_x_{3}_{90} +1 t_x_{4}_{90} <= +1 + F_4: +1 t_x_{4}_{0} +1 t_x_{4}_{15} +1 t_x_{4}_{30} +1 t_x_{4}_{45} +1 t_x_{4}_{60} +1 t_x_{4}_{75} +1 t_x_{4}_{90} + +1 t_x_{4}_{105} +1 t_x_{4}_{120} = +1 + F_2: +1 t_x_{2}_{0} +1 t_x_{2}_{15} +1 t_x_{2}_{30} +1 t_x_{2}_{45} +1 t_x_{2}_{60} +1 t_x_{2}_{75} +1 t_x_{2}_{90} + +1 t_x_{2}_{105} +1 t_x_{2}_{120} = +1 + slot19: +1 t_x_{1}_{0} +1 t_x_{3}_{0} +1 t_x_{5}_{0} <= +1 + slot20: +1 t_x_{1}_{15} +1 t_x_{3}_{15} +1 t_x_{5}_{15} <= +1 + slot21: +1 t_x_{1}_{30} +1 t_x_{3}_{30} +1 t_x_{5}_{30} <= +1 + slot22: +1 t_x_{1}_{45} +1 t_x_{3}_{45} +1 t_x_{5}_{45} <= +1 + slot23: +1 t_x_{1}_{60} +1 t_x_{3}_{60} +1 t_x_{5}_{60} <= +1 + slot24: +1 t_x_{1}_{75} +1 t_x_{3}_{75} +1 t_x_{5}_{75} <= +1 + F_1: +1 t_x_{1}_{0} +1 t_x_{1}_{15} +1 t_x_{1}_{30} +1 t_x_{1}_{45} +1 t_x_{1}_{60} +1 t_x_{1}_{75} +1 t_x_{1}_{90} + +1 t_x_{1}_{105} +1 t_x_{1}_{120} = +1 + F_3: +1 t_x_{3}_{0} +1 t_x_{3}_{15} +1 t_x_{3}_{30} +1 t_x_{3}_{45} +1 t_x_{3}_{60} +1 t_x_{3}_{75} +1 t_x_{3}_{90} + +1 t_x_{3}_{105} +1 t_x_{3}_{120} = +1 + F_5: +1 t_x_{5}_{0} +1 t_x_{5}_{15} +1 t_x_{5}_{30} +1 t_x_{5}_{45} +1 t_x_{5}_{60} +1 t_x_{5}_{75} +1 t_x_{5}_{90} + +1 t_x_{5}_{105} +1 t_x_{5}_{120} = +1 + slot28: +1 t_x_{4}_{0} +1 t_x_{5}_{0} +1 t_x_{6}_{0} <= +1 + slot29: +1 t_x_{4}_{15} +1 t_x_{5}_{15} +1 t_x_{6}_{15} <= +1 + slot30: +1 t_x_{4}_{30} +1 t_x_{5}_{30} +1 t_x_{6}_{30} <= +1 + slot31: +1 t_x_{4}_{45} +1 t_x_{5}_{45} +1 t_x_{6}_{45} <= +1 + slot32: +1 t_x_{4}_{60} +1 t_x_{5}_{60} +1 t_x_{6}_{60} <= +1 + slot33: +1 t_x_{4}_{75} +1 t_x_{5}_{75} +1 t_x_{6}_{75} <= +1 + slot35: +1 t_x_{4}_{105} +1 t_x_{5}_{105} +1 t_x_{6}_{105} <= +1 + cf1_0: -1 t_x_{2}_{60} +1 t_x_{3}_{0} +1 t_x_{3}_{15} +1 t_x_{3}_{30} +1 t_x_{3}_{45} +1 t_x_{3}_{75} + >= +0 + cf1_1: -1 t_x_{1}_{15} -1 t_x_{3}_{30} -1 t_x_{4}_{15} -1 t_x_{6}_{30} >= -3 +Bounds + 0 <= t_x_{6}_{120} <= 0 + 0 <= t_x_{6}_{105} <= 0 + 0 <= t_x_{6}_{90} <= 0 + 0 <= t_x_{6}_{75} <= 1 + 0 <= t_x_{6}_{60} <= 1 + 0 <= t_x_{6}_{45} <= 1 + 0 <= t_x_{6}_{30} <= 1 + 0 <= t_x_{6}_{15} <= 1 + 0 <= t_x_{6}_{0} <= 1 + 0 <= t_x_{5}_{120} <= 0 + 0 <= t_x_{5}_{105} <= 0 + 0 <= t_x_{5}_{90} <= 0 + 0 <= t_x_{5}_{75} <= 1 + 0 <= t_x_{5}_{60} <= 1 + 0 <= t_x_{5}_{45} <= 1 + 0 <= t_x_{5}_{30} <= 1 + 0 <= t_x_{5}_{15} <= 1 + 0 <= t_x_{5}_{0} <= 1 + 0 <= t_x_{4}_{120} <= 0 + 0 <= t_x_{4}_{105} <= 0 + 0 <= t_x_{4}_{90} <= 0 + 0 <= t_x_{4}_{75} <= 1 + 0 <= t_x_{4}_{60} <= 1 + 0 <= t_x_{4}_{45} <= 1 + 0 <= t_x_{4}_{30} <= 1 + 0 <= t_x_{4}_{15} <= 1 + 0 <= t_x_{4}_{0} <= 1 + 0 <= t_x_{3}_{105} <= 0 + 0 <= t_x_{3}_{90} <= 0 + 0 <= t_x_{3}_{75} <= 1 + 0 <= t_x_{3}_{60} <= 1 + 0 <= t_x_{3}_{45} <= 1 + 0 <= t_x_{3}_{30} <= 1 + 0 <= t_x_{3}_{15} <= 1 + 0 <= t_x_{3}_{0} <= 1 + 0 <= t_x_{2}_{120} <= 0 + 0 <= t_x_{2}_{105} <= 0 + 0 <= t_x_{2}_{90} <= 0 + 0 <= t_x_{2}_{75} <= 1 + 0 <= t_x_{2}_{60} <= 1 + 0 <= t_x_{2}_{45} <= 1 + 0 <= t_x_{2}_{30} <= 1 + 0 <= t_x_{2}_{15} <= 1 + 0 <= t_x_{2}_{0} <= 1 + 0 <= t_x_{1}_{120} <= 0 + 0 <= t_x_{1}_{105} <= 0 + 0 <= t_x_{1}_{90} <= 0 + 0 <= t_x_{1}_{75} <= 0 + 0 <= t_x_{1}_{60} <= 1 + 0 <= t_x_{1}_{45} <= 1 + 0 <= t_x_{1}_{30} <= 1 + 0 <= t_x_{1}_{15} <= 1 + 0 <= t_x_{1}_{0} <= 1 + 0 <= t_x_{3}_{120} <= 0 +Binaries + t_x_{6}_{120} t_x_{6}_{105} t_x_{6}_{90} t_x_{6}_{75} t_x_{6}_{60} t_x_{6}_{45} t_x_{6}_{30} t_x_{6}_{15} + t_x_{6}_{0} t_x_{5}_{120} t_x_{5}_{105} t_x_{5}_{90} t_x_{5}_{75} t_x_{5}_{60} t_x_{5}_{45} t_x_{5}_{30} + t_x_{5}_{15} t_x_{5}_{0} t_x_{4}_{120} t_x_{4}_{105} t_x_{4}_{90} t_x_{4}_{75} t_x_{4}_{60} t_x_{4}_{45} + t_x_{4}_{30} t_x_{4}_{15} t_x_{4}_{0} +End -- GitLab